Problem

The and connective is unnecessary in the sense that in a logical expression, the word and...

The and connective is unnecessary in the sense that in a logical expression, the word and can be replaced by the equivalent form ~(~p ∨ ~q). Verify this with truth tables. In a similar way, show that the or connective is unnecessary. Prove your claim by using truth tables.

The stroke connective has the following truth table:

p

q

p\q

T

T

F

T

F

T

F

T

T

F

F

T

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